Assume that there are 18 board

Question

members: 12 females, and 6 males including Larry.
There are 3 tasks to be assigned. Note that assigning the same
people different tasks constitutes a different assignment.

Find the probability that both males and females are given a task.

Find the probability that Larry and at least one female
are given tasks.

Answer 1

The same question came up back in 2009
http://www.jiskha.com/display.cgi?id=1236051521

For that question there were 4 tasks instead of your 3
make the necessary adjustments to drwls solution.